# Expanded form of Decimal Fractions

We will discuss here about the expanded form of decimal fractions.

In expanded form of decimal fractions we will learn how to read and write the decimal numbers.

For example,

493.2 = 4 hundreds + 9 tens + 3 ones + 2 tenths

= 400 + 90 + 3 + 2/10

1436.74 = 1 thousands + 4 hundreds + 3 tens + 6 ones + 7 tenths + 4 hundredths

= 1000 + 400 + 30 + 6 + 7/10 + 4/100

Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.

1. Write in expanded form:

(i) 3479.105

= 3 thousands + 4 hundreds + 7 tens + 9 ones + 1 tenths + 0 hundredths+ 5 thousandths

= 3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000

(ii) 7833.45

= 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths

= 7000 + 800 + 30 + 3 + 4/10 + 5/100

(iii) 21.1097

= 2 tens + 1 ones + 1 tenths + 0 hundredths + 9 thousandths + 7 ten thousandths

= 20 + 1 + 1/10 + 0/100 + 9/1000 + 7/10000

(iv) 524.1

= 5 hundreds + 2 tens + 4 ones + 1 tenths

= 500 + 20 + 4 + 1/10

(v) 143.011

= 1 hundreds + 4 tens + 3 ones + 0 tenths + 1 hundredths + 1 thousandths

= 100 + 40 + 3 + 0/10 + 1/100 + 1/1000

(vi) 840.006

= 8 hundreds + 4 tens + 0 ones + 0 tenths + 0 hundredths + 6 thousandths

= 800 + 40 + 0 + 0/10 + 0/100 + 6/1000

(vii) 64.21

= 6 tens + 4 ones + 2 tenths + 1 hundredths

= 60 + 4 + 2/10 + 1/100

(viii) 4334.334

= 4 thousands + 3 hundreds + 3 tens + 4 ones + 3 tenths + 3 hundredths + 4 thousandths

= 4000 + 300 + 30 + 4 + 3/10 + 3/100 + 4/1000

2. Write as decimal fractions:

(i) 8 thousands + 8 ones + 3 tenths + 9 hundredths

= 8008.39

(ii) 4000 + 7 + 5/10 + 6/100

= 4007.56

(iii) 6 hundreds + 9 tens + 8 tenths + 4 thousandths

= 690.804

(iv) 3 tens + 7 ones + 6 hundredths + 8 thousandths

= 37.068

(v) 400 + 50 + 1 + 9/100

= 451.09

(vi) 800 + 70 + 2 + 8/10 + 5/1000

= 872.805

(vii) 6 tens + 5 tenths + 8 hundredths

= 60.58

(viii) 9 hundreds + 4 tens + 3 tenths + 4 hundredths

= 940.34

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Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Subtraction of Decimal Fractions.

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.

From Expanded form of Decimal Fractions to HOME PAGE

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